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Simplifying 21x + 4y + -5x + -8z = 0 Reorder the terms: 21x + -5x + 4y + -8z = 0 Combine like terms: 21x + -5x = 16x 16x + 4y + -8z = 0 Solving 16x + 4y + -8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 16x + 4y + -4y + -8z = 0 + -4y Combine like terms: 4y + -4y = 0 16x + 0 + -8z = 0 + -4y 16x + -8z = 0 + -4y Remove the zero: 16x + -8z = -4y Add '8z' to each side of the equation. 16x + -8z + 8z = -4y + 8z Combine like terms: -8z + 8z = 0 16x + 0 = -4y + 8z 16x = -4y + 8z Divide each side by '16'. x = -0.25y + 0.5z Simplifying x = -0.25y + 0.5z
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